What property illustrated of -10×(7×3)=(-10×7)×3
Ano nga sagot
associative
better review the properties, eh?
The property illustrated in the equation -10×(7×3)=(-10×7)×3 is the associative property of multiplication.
To understand and verify this property, let's break down the equation step by step:
Step 1: -10×(7×3)
We start by calculating the value inside the parentheses first, which is 7×3. This gives us 21.
So, we substitute that value back into the equation: -10×21.
Step 2: -10×21
Now, we can simply multiply -10 by 21 to get -210 as the result.
Step 3: (-10×7)×3
Next, let's solve the equation using the other side: (-10×7)×3.
Here, we multiply -10 by 7, which gives us -70.
So, we substitute that value back into the equation: -70×3.
Step 4: -70×3
Finally, we multiply -70 by 3 to get -210 as the result.
Both sides of the equation yield the same result, -210. This demonstrates the associative property of multiplication, which states that the grouping of factors does not affect the final product.
Hence, the property illustrated in the equation -10×(7×3)=(-10×7)×3 is the associative property of multiplication.